Meccanica Statistica
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La meccanica statistica costituisce uno dei pilastri della fisica moderna: essa fornisce il ponte concettuale e matematico fra la descrizione microscopica dei sistemi fisici, governata dalle leggi della meccanica classica e quantistica, e le propriet� macroscopiche osservabili, oggetto della termodinamica.
Si parte dagli strumenti fondamentali della descrizione statistica: spazio delle fasi, teorema di Liouville, distribuzioni di probabilit� e ipotesi ergodica, fino alle definizioni operative di entropia di Boltzmann e Gibbs. Su queste basi si introducono gli ensemble microcanonico, canonico e grancanonico, insieme alle funzioni di partizione e al loro ruolo nella descrizione dei sistemi macroscopici. Il percorso prosegue verso i sistemi fisici fondamentali: gas ideali classici e quantistici, statistiche di Fermi-Dirac e Bose-Einstein, condensazione di Bose, gas di Fermi e di elettroni nei solidi. Infine, si affrontano i fenomeni collettivi e le interazioni: gas reali, modello di Ising, transizioni di fase, teoria di Landau e gruppo di rinormalizzazione, in un quadro che unifica descrizione microscopica e comportamento emergente. Il volume comprende numerosi esempi svolti che illustrano l'applicazione concreta dei metodi presentati, esercizi proposti al termine di ogni capitolo e un capitolo conclusivo interamente dedicato allo svolgimento completo di tutti gli esercizi proposti.• Author(s): Clear | James • Publisher: Penguin • Publisher Imprint: Penguin Random House • Subject: General Books
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